Answer:
x = 5
Step-by-step explanation:
The interior angles of a triangle <em>always</em> have to add up to 180 degrees.
This means you can form an equation with the three angles you have:
(10x - 4) + (8x + 3) + 91 = 180
Then, solve:
combine like terms
subtract 90 from both sides
divide both sides by 18
He deposited a total of $180.
Wrote two checks that totaled $80
x=180-80
180-80=100
Therefore, he would have $100 in his checking account after the two checks.
Answer:
<h2>The range: {-6, -10, -14, -18}</h2>
Step-by-step explanation:
Put the values of x from the domain to the equation of a function y = 4x - 2:
for x = -1
y = 4(-1) - 2 = -4 - 2 = -6
for x = -2
y = 4(-2) - 2 = -8 - 2 = -10
for x = -3
y = 4(-3) - 2 = -12 - 2 = -14
for x = -4
y = 4(-4) - 2 = -16 - 2 = -18
Rewriting the equation as a proportion, we have
(1/2 * 2x/2x) + (1/2x * 2/2) = (x^2 - 7x + 10)/4x
(2x/4x) + (2/4x) = (x^2 - 7x + 10)/4x
Multiplying both sides of the equation by 4x to clear the denominators:
2x + 2 = x^2 - 7x + 10
We now have a new equation that is equivalent to the original equation:
x^2 - 9x + 8 = 0
We can also write the equation into its factored form:
(x - 8)(x - 1) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x - 8) or (x - 1) zero will make their product zero.
x - 8 = 0 => x = 8
x - 1 = 0 => x = 1
Therefore, our solutions are x = 8 and x = 1.
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
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